Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
The solution is the shaded area above the solid line
so
The equation of the first inequality is
step 2
The equation of the dashed line is
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
therefore
The system of inequalities could be
Answer:
-3 +8a
Step-by-step explanation:
(3-8a) *(-1)
Distribute
3*-1 -8a*-1
-3 +8a
Step-by-step explanation:
We find the equation of the solid blue line:
The line decreases by 1 unit for every 3 units across.
=> Slope of line = -1/3.
Also the y-intercept is 1.
=> Line equation: y = -1/3 x + 1.
We see that the graph below this line is shaded.
Therefore all y-values below or on the line are represented by the graph.
=> y <= -1/3 x + 1.
The answer is y <= -1/3 x + 1.
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
